Control Charts Based on the g-and-h Distribution

Control charts are the most popular tool to detect the occurrence of an assignable cause in a production process. Traditional control charts are based on the approximation with the normal distribution. In many practical situation, however, assuming normality is not adequate. Under these situations, the use of traditional control chart may lead to erroneous decisions. For handling non-normal process distributions one may use non-parametric control charts, however these methods are rather inefficient. Another approach is to use a generalized distribution. In this work the univariate g-and-h distribution is used to approximate non-normal process distributions.